For each graph \(G\)  and each connected graph \(H\) , let \(\kappa (G,H)\)  denote the number of components of \(G\)  isomorphic to \(H\) . Then, see [1]}, the random variables \(\kappa (R,H)\)  for \(H \in \widetilde{\mathcal {C}}\)  are independent, with \(\kappa (R,H) \sim \rm Po(\mu (H))\) .
